{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,15]],"date-time":"2026-04-15T08:35:42Z","timestamp":1776242142098,"version":"3.50.1"},"reference-count":19,"publisher":"World Scientific Pub Co Pte Ltd","issue":"07","funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11271379"],"award-info":[{"award-number":["11271379"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004735","name":"Hunan Provincial Natural Science Foundation of China","doi-asserted-by":"crossref","award":["13JJ3075"],"award-info":[{"award-number":["13JJ3075"]}],"id":[{"id":"10.13039\/501100004735","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2016,6,30]]},"abstract":"<jats:p> In this paper, the dynamic properties for a Brusselator-type system with diffusion are investigated. By employing the theory of Hopf bifurcation for ordinary and partial differential equations, we mainly obtain some conditions of the stability and Hopf bifurcation for the ODE system, diffusion-driven instability of the equilibrium solution, and the direction of the Hopf bifurcation and the stability of the bifurcating periodic solutions for the PDE system. Finally, some numerical simulations are presented to verify our results. <\/jats:p>","DOI":"10.1142\/s0218127416501194","type":"journal-article","created":{"date-parts":[[2016,7,15]],"date-time":"2016-07-15T06:00:50Z","timestamp":1468562450000},"page":"1650119","source":"Crossref","is-referenced-by-count":14,"title":["Stability and Bifurcation Analysis in a Diffusive Brusselator-Type System"],"prefix":"10.1142","volume":"26","author":[{"given":"Maoxin","family":"Liao","sequence":"first","affiliation":[{"name":"School of Mathematics and Physics, University of South China, Hengyang, Hunan 421001, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Qi-Ru","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Mathematics and Computational Science, Sun Yat-Sen University, Guangzhou, Guangdong 510275, P. R. 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